A CMV connection between orthogonal polynomials on the unit circle and the real line
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Publication:2029810
DOI10.1016/j.jat.2021.105579zbMath1475.42040arXiv2005.09772OpenAlexW3142042508MaRDI QIDQ2029810
L. Velázquez, Leandro Moral, María José Cantero, Francisco Marcellán
Publication date: 4 June 2021
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.09772
Cites Work
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- Darboux transformations for CMV matrices
- Spectral transformations for Hermitian Toeplitz matrices
- Verblunsky parameters and linear spectral transformations
- Rational spectral transformations and orthogonal polynomials
- Darboux transformation and perturbation of linear functionals
- Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
- CMV matrices and little and big \(-1\) Jacobi polynomials
- Orthogonal polynomials on the unit circle: Symmetrization and quadratic decomposition
- Some Perspectives on the Eigenvalue Problem
- Tridiagonal Approach to the Algebraic Environment of Toeplitz Matrices, Part I: Basic Results
- Tridiagonal Approach to the Algebraic Environment of Toeplitz Matrices, Part II: Zero and Eigenvalue Problems
- CMV: The unitary analogue of Jacobi matrices
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